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2006012466 = 23485714449
BaseRepresentation
bin111011110010001…
…0101001000110010
312011210122222210000
41313210111020302
513102014344331
6531015450430
7100465552563
oct16744251062
95153588700
102006012466
1193a383947
1247b986a16
1325c7a0c33
141505c216a
15bb19e0e6
hex77915232

2006012466 has 40 divisors (see below), whose sum is σ = 4500510300. Its totient is φ = 667844352.

The previous prime is 2006012443. The next prime is 2006012467. The reversal of 2006012466 is 6642106002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1384956225 + 621056241 = 37215^2 + 24921^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2006012467) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131610 + ... + 146058.

Almost surely, 22006012466 is an apocalyptic number.

2006012466 is an abundant number, since it is smaller than the sum of its proper divisors (2494497834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2006012466 is a wasteful number, since it uses less digits than its factorization.

2006012466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15320 (or 15311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2006012466 is about 44788.5305184263. The cubic root of 2006012466 is about 1261.1823255876.

Adding to 2006012466 its reverse (6642106002), we get a palindrome (8648118468).

The spelling of 2006012466 in words is "two billion, six million, twelve thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 857 1714 2571 5142 7713 14449 15426 23139 28898 43347 46278 69417 86694 130041 138834 260082 390123 780246 1170369 2340738 12382793 24765586 37148379 74296758 111445137 222890274 334335411 668670822 1003006233 2006012466